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101103234232 = 237111367188437
BaseRepresentation
bin101111000101000111…
…0001110110010111000
3100122222001120110002211
41132022032032302320
53124024411443412
6114240213104504
710206301211560
oct1361216166270
9318861513084
10101103234232
113997215a330
1217717328134
1396c3253570
144c717a1da0
15296b00dca7
hex178a38ecb8

101103234232 has 128 divisors (see below), whose sum is σ = 258325885440. Its totient is φ = 35817914880.

The previous prime is 101103234109. The next prime is 101103234259. The reversal of 101103234232 is 232432301101.

101103234232 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 442318 + ... + 630754.

It is an arithmetic number, because the mean of its divisors is an integer number (2018170980).

Almost surely, 2101103234232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101103234232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129162942720).

101103234232 is an abundant number, since it is smaller than the sum of its proper divisors (157222651208).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101103234232 is a wasteful number, since it uses less digits than its factorization.

101103234232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188541 (or 188537 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 101103234232 its reverse (232432301101), we get a palindrome (333535535333).

The spelling of 101103234232 in words is "one hundred one billion, one hundred three million, two hundred thirty-four thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 67 77 88 91 104 134 143 154 182 268 286 308 364 469 536 572 616 728 737 871 938 1001 1144 1474 1742 1876 2002 2948 3484 3752 4004 5159 5896 6097 6968 8008 9581 10318 12194 19162 20636 24388 38324 41272 48776 67067 76648 134134 188437 268268 376874 536536 753748 1319059 1507496 2072807 2449681 2638118 4145614 4899362 5276236 8291228 9798724 10552472 12625279 14509649 16582456 17147767 19597448 25250558 26946491 29019298 34295534 50501116 53892982 58038596 68591068 88376953 101002232 107785964 116077192 137182136 138878069 164128627 176753906 188625437 215571928 277756138 328257254 353507812 377250874 555512276 656514508 707015624 754501748 972146483 1111024552 1148900389 1313029016 1509003496 1805414897 1944292966 2297800778 3610829794 3888585932 4595601556 7221659588 7777171864 9191203112 12637904279 14443319176 25275808558 50551617116 101103234232